Multiply. (3a^2)/(10x)cdot (12x^4)/(a^3)x Simplify your answer as much as possible.

To multiply the given fractions, we first multiply the numerators together and the denominators together:<br /><br />$\frac {3a^{2}}{10x} \cdot \frac {12x^{4}}{a^{3}x} = \frac {3a^{2} \cdot 12x^{4}}{10x \cdot a^{3}x}$<br /><br />Next, we simplify the numerator and the denominator by canceling out common factors:<br /><br />$\frac {36a^{2}x^{4}}{10a^{3}x^{2}}$<br /><br />We can further simplify this by dividing both the numerator and the denominator by $2a^{2}x^{2}$:<br /><br />$\frac {18x^{2}}{5ax}$<br /><br />Thus, the simplified form of the given expression is $\frac {18x^{2}}{5ax}$.